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146421464 = 2372923109
BaseRepresentation
bin10001011101000…
…11011011011000
3101012111222111012
420232203123120
5244440441324
622310153052
73425363510
oct1056433330
9335458435
10146421464
1175718682
1241052788
1324448127
1415636840
15ccc420e
hex8ba36d8

146421464 has 48 divisors (see below), whose sum is σ = 325057200. Its totient is φ = 60568704.

The previous prime is 146421461. The next prime is 146421481. The reversal of 146421464 is 464124641.

146421464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 146421464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146421461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45542 + ... + 48650.

It is an arithmetic number, because the mean of its divisors is an integer number (6772025).

Almost surely, 2146421464 is an apocalyptic number.

146421464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146421464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162528600).

146421464 is an abundant number, since it is smaller than the sum of its proper divisors (178635736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

146421464 is a wasteful number, since it uses less digits than its factorization.

146421464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3180 (or 3147 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The square root of 146421464 is about 12100.4737097355. The cubic root of 146421464 is about 527.0699402007.

The spelling of 146421464 in words is "one hundred forty-six million, four hundred twenty-one thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 406 812 841 1624 1682 3109 3364 5887 6218 6728 11774 12436 21763 23548 24872 43526 47096 87052 90161 174104 180322 360644 631127 721288 1262254 2524508 2614669 5049016 5229338 10458676 18302683 20917352 36605366 73210732 146421464